For \alpha, \beta \in \mathbb{R}, suppose the system of linear equations x-y+z=5 2 x+2 y+\alpha z=8 3 x-y+4 z=\beta has infinitely many solutions. Then \alpha and \beta are the roots of [30-Jan-2023 Shift 2]

Correct Answer is : x2−18x+56=0

JEE Mains 30-Jan-2023 Shift 2 Solved Paper

Section: Mathematics

Question : 80 of 90

Marks: +1, -0

For α,β∈ℝ, suppose the system of linear equations
‌x−y+z=5
‌2x+2y+αz=8
‌3x−y+4z=β
has infinitely many solutions. Then α and β are the roots of

[30-Jan-2023 Shift 2]

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